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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 385 · 40 questions
TalentJR

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

NameDateTime takenScore ___ / 40
  1. 1.Aditya and Ananya together finish a job in 3 days. Aditya alone takes 4 days. How many days would Ananya take alone?
  2. 2.Aditya and Ananya together finish a job in 15 days. Aditya alone takes 30 days. How many days would Ananya take alone?
  3. 3.Rahul and Pooja together finish a job in 2 days. Rahul alone takes 6 days. How many days would Pooja take alone?
  4. 4.Diya and Dev together finish a job in 18 days. Diya alone takes 24 days. How many days would Dev take alone?
  5. 5.Isha can finish a job in 6 days and Sneha in 28 days. Isha works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  6. 6.Kabir can finish a job in 13 days and Zoya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Tara can finish a job in 13 days and Arjun in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Tara can finish a job in 14 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ishaan and Zoya together finish a job in 4 days. Ishaan alone takes 6 days. How many days would Zoya take alone?
  10. 10.Dev can finish a job in 20 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Pooja can finish a job in 11 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Arjun can finish a job in 12 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Diya can finish a job in 13 days and Karan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Sneha can finish a job in 8 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Isha can finish a job in 5 days and Meera in 25 days. Isha works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  16. 16.Zoya can finish a job in 5 days and Nisha in 20 days. Zoya works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  17. 17.Manav can finish a job in 12 days and Vivaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aditya works twice as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  19. 19.Ishaan can finish a job in 5 days and Manav in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Manav and Priya together finish a job in 16 days. Manav alone takes 20 days. How many days would Priya take alone?
  21. 21.Isha can finish a job in 5 days and Kabir in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Zoya and Karan together finish a job in 2 days. Zoya alone takes 3 days. How many days would Karan take alone?
  23. 23.Manav can finish a job in 17 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Karan and Pooja together finish a job in 10 days. Karan alone takes 12 days. How many days would Pooja take alone?
  25. 25.Ananya works twice as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  26. 26.Arjun and Vivaan together finish a job in 7 days. Arjun alone takes 8 days. How many days would Vivaan take alone?
  27. 27.Isha works three times as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?
  28. 28.Arjun can finish a job in 11 days and Manav in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Priya can finish a job in 5 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Diya can finish a job in 5 days and Aarav in 30 days. Diya works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  31. 31.Manav can finish a job in 5 days and Rahul in 10 days. Manav works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  32. 32.Nisha can finish a job in 3 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Farhan can finish a job in 6 days and Sneha in 18 days. Farhan works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  34. 34.Rahul and Ananya together finish a job in 21 days. Rahul alone takes 28 days. How many days would Ananya take alone?
  35. 35.Meera and Arjun together finish a job in 3 days. Meera alone takes 4 days. How many days would Arjun take alone?
  36. 36.Aditya can finish a job in 28 days and Vivaan in 14 days. Aditya works alone for 22 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  37. 37.Tara can finish a job in 17 days and Meera in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Priya can finish a job in 12 days and Pooja in 8 days. Priya works alone for 9 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  39. 39.Kavya can finish a job in 6 days and Arjun in 20 days. Kavya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  40. 40.Farhan can finish a job in 4 days and Sneha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 12
  2. 30
  3. 3
  4. 72
  5. 14
  6. 32/247
  7. 143/24
  8. 29/70
  9. 12
  10. 7/20
  11. 88/19
  12. 5/12
  13. 19/78
  14. 8/3
  15. 10
  16. 16
  17. 36/7
  18. 33
  19. 17/20
  20. 80
  21. 60/17
  22. 6
  23. 31/119
  24. 60
  25. 12
  26. 56
  27. 40
  28. 48/55
  29. 15/4
  30. 24
  31. 6
  32. 5/2
  33. 3
  34. 84
  35. 12
  36. 3
  37. 23/34
  38. 2
  39. 10
  40. 68/21

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